cp's OEIS Frontend

A226658 T(n,k)=Number of nXk 0..4 arrays of sums of 2X2 subblocks of some (n+1)X(k+1) binary array.

%I A226658 #6 Jul 23 2025 05:29:27
%S A226658 5,19,19,65,205,65,211,1795,1795,211,665,14221,36317,14221,665,2059,
%T A226658 106819,636331,636331,106819,2059,6305,778765,10365005,23679901,
%U A226658 10365005,778765,6305,19171,5581315,162470155,805351531,805351531,162470155
%N A226658 T(n,k)=Number of nXk 0..4 arrays of sums of 2X2 subblocks of some (n+1)X(k+1) binary array.
%C A226658 Table starts
%C A226658 ......5.........19...........65............211.............665............2059
%C A226658 .....19........205.........1795..........14221..........106819..........778765
%C A226658 .....65.......1795........36317.........636331........10365005.......162470155
%C A226658 ....211......14221.......636331.......23679901.......805351531.....26175881341
%C A226658 ....665.....106819.....10365005......805351531.....56294206205...3735873535339
%C A226658 ...2059.....778765....162470155....26175881341...3735873535339.502757743028605
%C A226658 ...6305....5581315...2495037197...831358677451.241600284318365
%C A226658 ..19171...39606541..37898120011.26094426008221
%C A226658 ..58025..279447619.572284920845
%C A226658 .175099.1965098125
%C A226658 .527345
%H A226658 R. H. Hardin, <a href="/A226658/b226658.txt">Table of n, a(n) for n = 1..71</a>
%e A226658 Some solutions for n=3 k=4
%e A226658 ..1..1..1..0....0..1..1..1....0..1..1..0....1..0..1..1....1..0..2..3
%e A226658 ..3..1..1..2....1..1..2..1....1..2..2..2....1..2..3..2....1..2..2..1
%e A226658 ..3..2..2..3....3..1..2..3....2..1..2..3....2..3..2..1....3..3..1..0
%Y A226658 Diagonal is A005333(n+1)
%Y A226658 Staircase diagonal is A123281(n-3)
%Y A226658 Column 1 is A001047(n+1)
%Y A226658 Column 2 is A002501(n+1)
%Y A226658 Column 3 is A002502(n+1)
%Y A226658 Column 4 is A093732(n+1)
%Y A226658 Column 5 is A093733(n+1)
%K A226658 nonn,tabl
%O A226658 1,1
%A A226658 _R. H. Hardin_ Jun 14 2013